Self-consistent Purcell factor and spontaneous topological transition in hyperbolic metamaterials

TL;DR

This paper introduces a self-consistent method to calculate the Purcell factor and Lamb shift in hyperbolic metamaterials, revealing a spontaneous topological transition driven solely by the Lamb shift without external parameter changes.

Contribution

It presents a novel self-consistent approach for dispersive hyperbolic metamaterials and predicts a spontaneous topological transition caused by the Lamb shift.

Findings

Self-consistent calculation of Purcell factor and Lamb shift.

Prediction of spontaneous topological transition due to Lamb shift.

Implication for control of topological states in metamaterials.

Abstract

In this work we develop a self-consistent approach for calculation of the Purcell factor and Lamb shift in highly dispersive hyperbolic metamaterial accounting for the effective dipole frequency shift. Also we theoretically predict the possibility of spontaneous topological transition, which occurs not due to the external change of the system parameters but only due to the Lamb shift.